Question

Ex 6 va rog!!
Dau coroana

Answer 1

Răspuns:

Explicație pas cu pas:

AM=(2/5)·AB, deci BM=(3/5)·AB;   BN=(3/5)·BC, deci CN=(2/5)·BC;

CP=(2/5)·CD, deci DP=(3/5)·DC;   DQ=(3/5)·AD, deci AQ=(2/5)·AD.

Atunci AM/BM=2/3=AQ/DQ, atunci dupa teorema Thales, ⇒MQ║BD.

Dar si CN/BN=2/3=CP/DP, deci NP║BD, Atunci MQ║NP.

Analog se arata ca MN║AC║QP, deci MNPQ este paralelogram.